Complex Number Conjugates
 

Complex conjugate



The conjugate value of a complex number is obtained by changing the sign of the imaginary component. The conjugate value of the complex number is therefore the number:




The points of the complex numbers and lie in the complex plane symmetrically with respect to the real axis:




Properties of the conjugate complex number:



The following rules apply to conjugation:


  • Conjugation is reciprocal:




  • The conjugate value of the sum of two complex numbers is equal to the sum of their conjugate values:




  • The absolute value of the product of two complex numbers is equal to the product of their absolute values:





material editor: Azeez Adesina